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3 years ago

What is the value of tan x ?

Mathematics

1 answer:

Ronch [10]3 years ago

8 0

Tangent is opposite over adjacent, so 4/3

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Claire get a breakfast to go at a local store. She eats 2 pieces of buttered toast and a glass of juice for breakfast every day.

Luda [366]

Answer:

(C.) 7(J+2B)

Step-by-step explanation:

7 days times (1 glass of jiuce + 2 slice of bread)

3 0

3 years ago

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If (a, –5) is a solution to the equation 3a = –2b – 7, what is a?

sukhopar [10]

Answer:

d) 1

Step-by-step explanation:

3a = –2b – 7

We have the point (a, -5) so b = -5

Substituting in

3a = -2(-5) -7

3a = 10-7

3a = 3

Divide each side by 3

3a/3 = 3/3

a =1

6 0

3 years ago

Can some one help me.

alina1380 [7]

Answer:

x = ± 2, x = 3

Step-by-step explanation:

note that x = 2 gives

2³ - 3(2)² - 4(2) + 12 = 8 - 12 - 8 + 12 = 0

Hence x = 2 is a root and (x - 2) is a factor

x³ - 3x² - 4x + 12 ÷ (x - 2)

= (x - 2)(x² - x - 6)

= (x - 2)(x + 2)(x - 3), hence

(x - 2)(x + 2)(x - 3) = 0

equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 2 = 0 ⇒ x = - 2

x - 3 = 0 ⇒ x = 3

3 0

3 years ago

Read 2 more answers

The mean per capita income is 15,451 dollars per annum with a variance of 298,116. What is the probability that the sample mean

docker41 [41]

Answer: 0.5467

Step-by-step explanation:

Let X be the random variable that represents the income (in dollars) of a randomly selected person.

Given : $\mu=15451$

$\sigma^2=298116\\\\\Rightarrow\ \sigma=\sqrt{298116}=546$

Sample size : n=350

z-score : $\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

To find the probability that the sample mean would differ from the true mean by less than 22 dollars, the interval will be

$\mu-22,\ \mu+22\\\\=15,451 -22,\ 15,451 +22\\\\=15429,\ 15473$

For x=15429

$z=\dfrac{15429-15451}{\dfrac{546}{\sqrt{350}}}\approx-0.75$

For x=15473

$z=\dfrac{15473-15451}{\dfrac{546}{\sqrt{350}}}\approx0.75$

The required probability :-

$P(15429$

Hence, the required probability is 0.5467.

3 0

3 years ago

Enrollment in a school has grown exponentially since the school opened. Below is a graph depicting this growth. Determine the av

tresset_1 [31]

Answer:

2.5

Step-by-step explanation:

The average rate of the function f(x) from x=a to x=b is given by:

$\frac{f(b)-f(a)}{b-a}$

From the question, the exponential function goes through (0,30) and (20,80).

This implies that f(0)=30 and f(20)=80

Therefore the average rate of change from x = 0 to x = 20 is

$=\frac{f(20)-f(0)}{20-0}$

$=\frac{80-30}{20}$

$=\frac{50}{20}=2.5$

The second choice is correct

4 0

3 years ago

Read 2 more answers